SSC CHSL 2023 PYQ — Question 69

SSC CHSL - 08 Aug 2023 - Shift 2 • Quantitative Aptitude • Q69

A and B together can complete a piece of work in 15 days and B alone can complete it in 21 days. In how many days can A complete it alone?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 521252{1\over2}  days.

Let the total work to be completed (LCM of 15 and 21) be 105 units.

Efficiency of A and B = 105/15 = 7 units/day

Efficiency of B alone = 105/21 = 5 units/day

Now, efficiency of A alone = 7 - 5 = 2 units/day

Time taken by A alone to complete the work = 105/2

⇒ 571257{1\over2} days